60506089997760 has 1680 divisors, whose sum is σ = 241907824641600. Its totient is φ = 13852962816000.

The previous prime is 60506089997699. The next prime is 60506089997767. The reversal of 60506089997760 is 6779998060506.

60506089997760 is a `hidden beast` number, since 6 + 0 + 5 + 0 + 608 + 9 + 9 + 9 + 7 + 7 + 6 + 0 = 666.

60506089997760 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60506089997767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 86313965410 + ... + 86313966110.

Almost surely, 2^{60506089997760} is an apocalyptic number.

60506089997760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60506089997760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120953912320800).

60506089997760 is an abundant number, since it is smaller than the sum of its proper divisors (181401734643840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

60506089997760 is a wasteful number, since it uses less digits than its factorization.

60506089997760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 60506089997760 in words is "sixty trillion, five hundred six billion, eighty-nine million, nine hundred ninety-seven thousand, seven hundred sixty".